If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.

In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is

if a=26 and b=22, then the value of   $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is

what is the value of the expression
 cos 2A cos2B+sin²(A-B)-sin²(A+B)?

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

if $$m+{1\over(m-2)}=4$$,then find the value of  $$ (m-2)^2+ \left({{1\over {m-2}}} \right)^2 \ $$

if  $${5x-{5\over x}+6=0}$$, then $$x^2+{1\over x^2}$$ is